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Finding the Fourth Proportional to 3,857.69, 5,323.51 and 2,179.10

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Solution

The fourth proportional to 3,857.69, 5,323.51 and 2,179.10 is: 3,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.69 : 5,323.51 = 2,179.10 : x
  2. Step 2: Convert to fraction form
    3,857.69/5,323.51 = 2,179.10/x
  3. Step 3: Cross multiply
    3,857.69x = 5,323.51 × 2,179.10
  4. Step 4: Simplify right side
    3,857.69x = 11,600,423.13
  5. Step 5: Solve for x
    x = 11,600,423.13/3,857.69
  6. Step 6: Final answer
    x = 3,007.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.